Effects of relay selection strategies on the spectral efficiency of wireless systems with half- and full-duplex nodes

This work proposes an analytical framework to study how relay selection strategies perform in half- and full-duplex deployments by combining renewal theory and stochastic geometry. Specifically, we assume that the network nodes-operating in either half- or full-duplex mode-are scattered according to a 2-D homogeneous Poisson point process to compute the relay selection cost by using a semi-Markov process. Our results show that: 1) fixed relay outperforms the reactive option in either cases; 2) the performance of both reactive and fixed relay strategies depends on the self-interference attenuation in full-duplex scenarios, evincing when they outperform the half-duplex option; and 3) the reactive relay selection suffers from selecting relays at hop basis, while the fixed relay selection benefits most from the full-duplex communication.